Elements of microstructural mechanics
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Microstructural mechanics aims at determining the impact of the microstructure of materials on the effective properties and the local fields in heterogeneous materials. Homogenization techniques are designed to derive overall linear and non-linear properties of materials from the knowledge of the properties of individual phases and their arrangement in space. The notion of Representative Volume Element is defined and its size is estimated in the case of random materials. The limits of homogenization are explored when the characteristic wave length of mean field variation becomes close to the size of heterogeneities.
KeywordsYield Surface Representative Volume Element Heterogeneous Material Effective Property Cosserat Continuum
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